If two balls of same metal weighing 5 gm and 10 gm strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher

Question

If two balls of same metal weighing 5 gm and 10 gm strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher (A) For bigger ball (B) For smaller ball (C) Equal for both the balls (D) None is correct from the above three

Tardigrade Admin · Accepted Answer

Energy =(1/2) m v2=m c Δ θ ; ⇒ Δ θ propto v2 Temperature does not depend upon the mass of the balls.

Q. If two balls of same metal weighing $5 g m$ and $10 g m$ strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher

For bigger ball

For smaller ball

Equal for both the balls

None is correct from the above three

Energy $= \frac{1}{2} m v^{2} = m c Δ θ;$
$\Rightarrow Δ θ \propto v^{2}$
Temperature does not depend upon the mass of the balls.

Q. If two balls of same metal weighing 5gm and 10gm strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher